oj.uz

Submission #826270

# Submission time Handle Problem Language Result Execution time Memory
826270 2023-08-15T11:50:19 Z alvingogo Digital Circuit (IOI22_circuit) C++17
100 / 100
 949 ms 27420 KB 
#include "circuit.h"
#include <bits/stdc++.h>
#define fs first
#define sc second
using namespace std;

const int mod=1000002022;
void add(int& x,int y){
    x+=y;
    x-=mod*(x>=mod);
}
int mul(int x,int y){
    return 1ll*x*y%mod;
}
int po(int x,int y){
    int z=1;
    while(y){
        if(y&1){
            z=mul(z,x);
        }
        x=mul(x,x);
        y>>=1;
    }
    return z;
}
int inv(int x){
    return po(x,222*2242156-1);
}
vector<int> g,a;
struct ST{
    struct no{
        int sum=0,ans=0,tag=0;
    };
    vector<no> st;
    void init(int x){
        st.resize(4*x);
    }
    void upd(int v){
        st[v].ans=(st[v].sum-st[v].ans+mod)%mod;
        st[v].tag^=1;
    }
    void pudo(int v){
        if(st[v].tag){
            upd(2*v+1);
            upd(2*v+2);
            st[v].tag=0;
        }
    }
    void pull(int v){
        st[v].ans=(st[2*v+1].ans+st[2*v+2].ans)%mod;
    }
    void build(int v,int L,int R){
        if(L==R){
            st[v].sum=g[L];
            st[v].ans=st[v].sum*a[L];
            return;
        }
        int m=(L+R)/2;
        build(2*v+1,L,m);
        build(2*v+2,m+1,R);
        pull(v);
        st[v].sum=(st[2*v+1].sum+st[2*v+2].sum)%mod;
    }
    void toggle(int v,int L,int R,int l,int r){
        if(L==l && r==R){
            upd(v);
            return;
        }
        pudo(v);
        int m=(L+R)/2;
        if(r<=m){
            toggle(2*v+1,L,m,l,r);
        }
        else if(l>m){
            toggle(2*v+2,m+1,R,l,r);
        }
        else{
            toggle(2*v+1,L,m,l,m);
            toggle(2*v+2,m+1,R,m+1,r);
        }
        pull(v);
    }
    int query(){
        return st[0].ans; 
    }
}st;

const int x[2]={2,223};
int cnt[2]={0};
int pe=1;
int n,m;
struct tn{
    vector<int> ch;
    int deg=0;
    int cs[2]={0};
    int dx=1;
};
vector<tn> v;
void dfs(int r,int a,int b,int c){
    if(r>=n){
        int z=mul(pe,inv(c));
        z=mul(z,po(2,cnt[0]-a));
        z=mul(z,po(223,cnt[1]-b));
        g[r-n]=z;
        return;
    }
    for(auto h:v[r].ch){
        dfs(h,a+v[r].cs[0],b+v[r].cs[1],mul(c,v[r].dx));
    }
}
void init(int N, int M, vector<int> p, vector<int> A) {
    n=N;
    m=M;
    a=A;
    st.init(m);
    g.resize(m);
    v.resize(n+m);
    for(int i=1;i<n+m;i++){
        v[p[i]].ch.push_back(i);
        v[p[i]].deg++;
    }
    for(int i=0;i<n;i++){
        int s=v[i].deg;
        while(s%2==0){
            s/=2;
            v[i].cs[0]++;
            cnt[0]++;
        }
        while(s%223==0){
            s/=223;
            v[i].cs[1]++;
            cnt[1]++;
        }
        v[i].dx=s;
        pe=mul(pe,s);
    }
    dfs(0,0,0,1);
    st.build(0,0,m-1);
}

int count_ways(int L, int R) {
    st.toggle(0,0,m-1,L-n,R-n);
    return st.query();
}

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 1 ms 208 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 0 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 464 KB Output is correct
8 Correct 1 ms 464 KB Output is correct
9 Correct 1 ms 464 KB Output is correct
10 Correct 1 ms 464 KB Output is correct
11 Correct 1 ms 464 KB Output is correct
12 Correct 1 ms 336 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 1 ms 208 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 208 KB Output is correct
10 Correct 0 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 464 KB Output is correct
16 Correct 1 ms 464 KB Output is correct
17 Correct 1 ms 464 KB Output is correct
18 Correct 1 ms 464 KB Output is correct
19 Correct 1 ms 464 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 336 KB Output is correct
24 Correct 1 ms 464 KB Output is correct
25 Correct 1 ms 464 KB Output is correct
26 Correct 1 ms 464 KB Output is correct
27 Correct 1 ms 464 KB Output is correct
28 Correct 1 ms 464 KB Output is correct
29 Correct 1 ms 336 KB Output is correct
30 Correct 1 ms 336 KB Output is correct
31 Correct 0 ms 336 KB Output is correct
32 Correct 1 ms 464 KB Output is correct
33 Correct 1 ms 336 KB Output is correct
34 Correct 1 ms 336 KB Output is correct
35 Correct 1 ms 336 KB Output is correct
36 Correct 1 ms 464 KB Output is correct
37 Correct 1 ms 464 KB Output is correct
38 Correct 1 ms 464 KB Output is correct
39 Correct 1 ms 336 KB Output is correct
40 Correct 1 ms 336 KB Output is correct
41 Correct 1 ms 336 KB Output is correct
42 Correct 1 ms 336 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 649 ms 6484 KB Output is correct
2 Correct 780 ms 12596 KB Output is correct
3 Correct 668 ms 12600 KB Output is correct
4 Correct 750 ms 12624 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 649 ms 6484 KB Output is correct
2 Correct 780 ms 12596 KB Output is correct
3 Correct 668 ms 12600 KB Output is correct
4 Correct 750 ms 12624 KB Output is correct
5 Correct 572 ms 6480 KB Output is correct
6 Correct 811 ms 12576 KB Output is correct
7 Correct 721 ms 12620 KB Output is correct
8 Correct 638 ms 12624 KB Output is correct
9 Correct 318 ms 592 KB Output is correct
10 Correct 599 ms 1060 KB Output is correct
11 Correct 883 ms 1056 KB Output is correct
12 Correct 714 ms 1060 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 0 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 464 KB Output is correct
8 Correct 1 ms 464 KB Output is correct
9 Correct 1 ms 464 KB Output is correct
10 Correct 1 ms 464 KB Output is correct
11 Correct 1 ms 464 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 649 ms 6484 KB Output is correct
14 Correct 780 ms 12596 KB Output is correct
15 Correct 668 ms 12600 KB Output is correct
16 Correct 750 ms 12624 KB Output is correct
17 Correct 572 ms 6480 KB Output is correct
18 Correct 811 ms 12576 KB Output is correct
19 Correct 721 ms 12620 KB Output is correct
20 Correct 638 ms 12624 KB Output is correct
21 Correct 318 ms 592 KB Output is correct
22 Correct 599 ms 1060 KB Output is correct
23 Correct 883 ms 1056 KB Output is correct
24 Correct 714 ms 1060 KB Output is correct
25 Correct 904 ms 18748 KB Output is correct
26 Correct 949 ms 19080 KB Output is correct
27 Correct 777 ms 18996 KB Output is correct
28 Correct 624 ms 18976 KB Output is correct
29 Correct 806 ms 26892 KB Output is correct
30 Correct 802 ms 26808 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 1 ms 208 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 208 KB Output is correct
10 Correct 0 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 464 KB Output is correct
16 Correct 1 ms 464 KB Output is correct
17 Correct 1 ms 464 KB Output is correct
18 Correct 1 ms 464 KB Output is correct
19 Correct 1 ms 464 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 336 KB Output is correct
24 Correct 1 ms 464 KB Output is correct
25 Correct 1 ms 464 KB Output is correct
26 Correct 1 ms 464 KB Output is correct
27 Correct 1 ms 464 KB Output is correct
28 Correct 1 ms 464 KB Output is correct
29 Correct 1 ms 336 KB Output is correct
30 Correct 1 ms 336 KB Output is correct
31 Correct 0 ms 336 KB Output is correct
32 Correct 1 ms 464 KB Output is correct
33 Correct 1 ms 336 KB Output is correct
34 Correct 1 ms 336 KB Output is correct
35 Correct 1 ms 336 KB Output is correct
36 Correct 1 ms 464 KB Output is correct
37 Correct 1 ms 464 KB Output is correct
38 Correct 1 ms 464 KB Output is correct
39 Correct 1 ms 336 KB Output is correct
40 Correct 1 ms 336 KB Output is correct
41 Correct 1 ms 336 KB Output is correct
42 Correct 1 ms 336 KB Output is correct
43 Correct 634 ms 720 KB Output is correct
44 Correct 753 ms 848 KB Output is correct
45 Correct 883 ms 868 KB Output is correct
46 Correct 709 ms 1236 KB Output is correct
47 Correct 829 ms 1232 KB Output is correct
48 Correct 716 ms 1236 KB Output is correct
49 Correct 537 ms 1236 KB Output is correct
50 Correct 844 ms 1232 KB Output is correct
51 Correct 658 ms 896 KB Output is correct
52 Correct 722 ms 896 KB Output is correct
53 Correct 569 ms 976 KB Output is correct
54 Correct 712 ms 1232 KB Output is correct
55 Correct 667 ms 1040 KB Output is correct
56 Correct 718 ms 976 KB Output is correct
57 Correct 675 ms 856 KB Output is correct
58 Correct 624 ms 1616 KB Output is correct
59 Correct 641 ms 1672 KB Output is correct
60 Correct 795 ms 1688 KB Output is correct
61 Correct 465 ms 848 KB Output is correct
62 Correct 680 ms 848 KB Output is correct
63 Correct 592 ms 824 KB Output is correct
64 Correct 750 ms 876 KB Output is correct
65 Correct 273 ms 592 KB Output is correct
66 Correct 586 ms 1060 KB Output is correct
67 Correct 584 ms 1064 KB Output is correct
68 Correct 694 ms 1060 KB Output is correct

Subtask #8
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 1 ms 208 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 208 KB Output is correct
10 Correct 0 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 464 KB Output is correct
16 Correct 1 ms 464 KB Output is correct
17 Correct 1 ms 464 KB Output is correct
18 Correct 1 ms 464 KB Output is correct
19 Correct 1 ms 464 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 336 KB Output is correct
24 Correct 1 ms 464 KB Output is correct
25 Correct 1 ms 464 KB Output is correct
26 Correct 1 ms 464 KB Output is correct
27 Correct 1 ms 464 KB Output is correct
28 Correct 1 ms 464 KB Output is correct
29 Correct 1 ms 336 KB Output is correct
30 Correct 1 ms 336 KB Output is correct
31 Correct 0 ms 336 KB Output is correct
32 Correct 1 ms 464 KB Output is correct
33 Correct 1 ms 336 KB Output is correct
34 Correct 1 ms 336 KB Output is correct
35 Correct 1 ms 336 KB Output is correct
36 Correct 1 ms 464 KB Output is correct
37 Correct 1 ms 464 KB Output is correct
38 Correct 1 ms 464 KB Output is correct
39 Correct 1 ms 336 KB Output is correct
40 Correct 1 ms 336 KB Output is correct
41 Correct 1 ms 336 KB Output is correct
42 Correct 1 ms 336 KB Output is correct
43 Correct 649 ms 6484 KB Output is correct
44 Correct 780 ms 12596 KB Output is correct
45 Correct 668 ms 12600 KB Output is correct
46 Correct 750 ms 12624 KB Output is correct
47 Correct 572 ms 6480 KB Output is correct
48 Correct 811 ms 12576 KB Output is correct
49 Correct 721 ms 12620 KB Output is correct
50 Correct 638 ms 12624 KB Output is correct
51 Correct 318 ms 592 KB Output is correct
52 Correct 599 ms 1060 KB Output is correct
53 Correct 883 ms 1056 KB Output is correct
54 Correct 714 ms 1060 KB Output is correct
55 Correct 904 ms 18748 KB Output is correct
56 Correct 949 ms 19080 KB Output is correct
57 Correct 777 ms 18996 KB Output is correct
58 Correct 624 ms 18976 KB Output is correct
59 Correct 806 ms 26892 KB Output is correct
60 Correct 802 ms 26808 KB Output is correct
61 Correct 634 ms 720 KB Output is correct
62 Correct 753 ms 848 KB Output is correct
63 Correct 883 ms 868 KB Output is correct
64 Correct 709 ms 1236 KB Output is correct
65 Correct 829 ms 1232 KB Output is correct
66 Correct 716 ms 1236 KB Output is correct
67 Correct 537 ms 1236 KB Output is correct
68 Correct 844 ms 1232 KB Output is correct
69 Correct 658 ms 896 KB Output is correct
70 Correct 722 ms 896 KB Output is correct
71 Correct 569 ms 976 KB Output is correct
72 Correct 712 ms 1232 KB Output is correct
73 Correct 667 ms 1040 KB Output is correct
74 Correct 718 ms 976 KB Output is correct
75 Correct 675 ms 856 KB Output is correct
76 Correct 624 ms 1616 KB Output is correct
77 Correct 641 ms 1672 KB Output is correct
78 Correct 795 ms 1688 KB Output is correct
79 Correct 465 ms 848 KB Output is correct
80 Correct 680 ms 848 KB Output is correct
81 Correct 592 ms 824 KB Output is correct
82 Correct 750 ms 876 KB Output is correct
83 Correct 273 ms 592 KB Output is correct
84 Correct 586 ms 1060 KB Output is correct
85 Correct 584 ms 1064 KB Output is correct
86 Correct 694 ms 1060 KB Output is correct
87 Correct 3 ms 208 KB Output is correct
88 Correct 486 ms 16700 KB Output is correct
89 Correct 734 ms 11844 KB Output is correct
90 Correct 709 ms 11848 KB Output is correct
91 Correct 700 ms 19104 KB Output is correct
92 Correct 802 ms 19200 KB Output is correct
93 Correct 884 ms 19152 KB Output is correct
94 Correct 681 ms 19200 KB Output is correct
95 Correct 873 ms 19232 KB Output is correct
96 Correct 731 ms 11980 KB Output is correct
97 Correct 812 ms 11820 KB Output is correct
98 Correct 746 ms 15952 KB Output is correct
99 Correct 743 ms 19084 KB Output is correct
100 Correct 808 ms 15168 KB Output is correct
101 Correct 857 ms 13716 KB Output is correct
102 Correct 900 ms 11764 KB Output is correct
103 Correct 789 ms 26860 KB Output is correct
104 Correct 916 ms 27420 KB Output is correct
105 Correct 747 ms 27340 KB Output is correct
106 Correct 882 ms 12572 KB Output is correct
107 Correct 703 ms 10696 KB Output is correct
108 Correct 712 ms 11288 KB Output is correct
109 Correct 828 ms 11728 KB Output is correct